Hi please i need the step bye step solution. thank you ♥

40

Step-by-step explanation:

3, 6, 9...

120 = 3+(n-1)3

120 = 3+3n-3

120 = 3n

120 / 3 = 3n / 3

40 = n

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: